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Is p > q? (1) p/q > 1 (2) (p - q)/q > (p - q)/p

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Is p > q? (1) p/q > 1 (2) (p - q)/q > (p - q)/p  [#permalink]

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New post 01 Mar 2018, 14:25
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A
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E

Difficulty:

  75% (hard)

Question Stats:

51% (02:12) correct 49% (01:47) wrong based on 67 sessions

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Is p > q?

(1) \(\frac{p}{q} > 1\)

(2) \(\frac{(p-q)}{q} > \frac{(p-q)}{p}\)
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Re: Is p > q? (1) p/q > 1 (2) (p - q)/q > (p - q)/p  [#permalink]

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New post 01 Mar 2018, 20:23
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raashiedm wrote:
Is p>q?

(1) \(\frac{p}{q} > 1\)
(2) \(\frac{(p-q)}{q} > \frac{(p-q)}{p}\)


Statement 1: Both \(p\) & \(q\) are either positive or negative. if \(p=2\) & \(q=1\), then we have \(p>q\) & \(\frac{p}{q}>1\), but if \(p=-2\) & \(q=-1\), then \(\frac{p}{q}>1\) but \(p<q\). Hence Insufficient

Statement 2: \(\frac{p-q}{q}-\frac{p-q}{p}>0 =>\frac{(p-q)^2}{pq}>0\)

Now \((p-q)^2>0\), hence \(pq>0\). This implies both \(p\) & \(q\) are either positive or negative. Same as Statement 1. Insufficient

Combining 1 & 2: We know either \(p\) & \(q\) are positive or negative but we cannot determine the value of \(p\) & \(q\). Hence Insufficient

Option E
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Re: Is p > q? (1) p/q > 1 (2) (p - q)/q > (p - q)/p  [#permalink]

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New post 03 Mar 2018, 02:26
raashiedm wrote:
Is p>q?

(1) \(\frac{p}{q} > 1\)
(2) \(\frac{(p-q)}{q} > \frac{(p-q)}{p}\)


Easy E.

Plug in the numbers -3 and -2 for both the statements. Both statements together are not sufficient to answer the question.
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Re: Is p > q? (1) p/q > 1 (2) (p - q)/q > (p - q)/p  [#permalink]

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New post 08 Mar 2018, 03:07
raashiedm wrote:
Is p > q?

(1) \(\frac{p}{q} > 1\)

(2) \(\frac{(p-q)}{q} > \frac{(p-q)}{p}\)


9. Inequalities



For more check Ultimate GMAT Quantitative Megathread


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Re: Is p > q? (1) p/q > 1 (2) (p - q)/q > (p - q)/p  [#permalink]

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New post 08 Mar 2018, 08:08
raashiedm wrote:
Is p > q?

(1) \(\frac{p}{q} > 1\)

(2) \(\frac{(p-q)}{q} > \frac{(p-q)}{p}\)


Neither of the statements gives us any information about the sign of p and q. Both the statements are insufficient to answer.

Answer should be E
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Re: Is p > q? (1) p/q > 1 (2) (p - q)/q > (p - q)/p  [#permalink]

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New post 24 Apr 2019, 11:12
E is the answer

As per statement 1 : p>0 and q>0 or p<0 and q<0
Not sufficient

As per statement 2 : same as above

As per both the statements : same as above

Hence e is the answer

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Re: Is p > q? (1) p/q > 1 (2) (p - q)/q > (p - q)/p   [#permalink] 24 Apr 2019, 11:12
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